Question

Do ΔCBG and ΔFEG in the figure appear to be similar? Why or why not?

A. They're similar because one pair of corresponding angles in the two triangles is congruent.
  B. They're similar because two pairs of corresponding angles in the two triangles are congruent.
  C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.
  D. They're not similar because two pairs of corresponding angles in the two triangles are congruent.

Answer 1

C

Explanation:

They're not similar because only one pair of corresponding angles in the two triangles is congruent.

Answer 2

Answer: Option C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.

Solution:

The only one pair of corresponding angles in the two triangles is congruent is the angle BGC in ΔCBG and the angle FGE in ΔFEG, because they are vertical angles (opposite by the vertex)